1205103511755 has 96 divisors (see below), whose sum is σ = 2474311799232. Its totient is φ = 539346677760.

The previous prime is 1205103511753. The next prime is 1205103511831. The reversal of 1205103511755 is 5571153015021.

1205103511755 is a `hidden beast` number, since 1 + 20 + 51 + 0 + 3 + 511 + 75 + 5 = 666.

It is not a de Polignac number, because 1205103511755 - 2¹ = 1205103511753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1205103511751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4779 + ... + 1552491.

It is an arithmetic number, because the mean of its divisors is an integer number (25774081242).

Almost surely, 2^{1205103511755} is an apocalyptic number.

1205103511755 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1205103511755 is an abundant number, since it is smaller than the sum of its proper divisors (1269208287477).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1205103511755 is a wasteful number, since it uses less digits than its factorization.

1205103511755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547770 (or 1547745 counting only the distinct ones).

The product of its (nonzero) digits is 26250, while the sum is 36.

Adding to 1205103511755 its reverse (5571153015021), we get a palindrome (6776256526776).

The spelling of 1205103511755 in words is "one trillion, two hundred five billion, one hundred three million, five hundred eleven thousand, seven hundred fifty-five".